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Explore Riesz through 10+ example sentences from English. Ideal for language learners, writers and word enthusiasts.

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Riesz in a sentence

Using Riesz

  • In the example corpus, riesz often appears in combinations such as: the riesz, riesz representation, to riesz.

Context around Riesz

  • Average sentence length in these examples: 23.3 words
  • Position in the sentence: 3 start, 3 middle, 4 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often before:

felix 1× consider 1× solid 1×

Often after:

representation 3× identification 1× proof 1× space 1×

Sentence patterns with Riesz

These short patterns come directly from the example sentences and show how the word is often embedded:

because the riesz representation theorem 1× felix riesz 7 of 1× important consider riesz s lemma 1× known to riesz already in 1× locally solid riesz space 1× sauter and riesz identification of 1× simultaneously to riesz and fréchet 1× the fejér riesz proof was 1×

Sentence openings and endings

Common sentence openings:

according to citation 1× closed linear spans 1× conversely as shown 1× felix riesz 7 1× historically the theorem 1× the fejér riesz 1×

Common sentence endings:

1907 see references 1× already in 1918 1× does not apply 1× feb 15 2020 1× measures on βn 1× minimal left ideals 1×

Words around Riesz

Just before it in the word index:

riester 8 riess 12 rieslings 5 riesling 29 rieser 2 riese 4

Just after it in the word index:

rieti 2 riets 2 rietveld 9 rietvlei 6 rieu 8 rieux 20

Similar in corpus frequency:

aab 13 aamer 13 aave 13 abdelmadjid 13 abdulkarim 13 abdulsalami 13

Corpus analysis for Riesz

  • In this selection, "riesz" usually appears near the end of the sentence. The average example has 23.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, felix, consider, solid, representation, identification and proof stand out and add context to how "riesz" is used.
  • Recognizable usage signals include because the riesz representation theorem and felix riesz 7 of. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "riesz" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.

Example types with riesz

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

According to citation, the argument was known to Riesz already in 1918. (12 words)

The Fejér–Riesz proof was further simplified by Alexander Ostrowski and by Carathéodory. (13 words)

Historically, the theorem is often attributed simultaneously to Riesz and Fréchet in 1907 (see references). (15 words)

Longer example sentences

As of the 1980s, the theoretical physics group at Birkbeck College around David Bohm and Basil Hiley has been developing algebraic approaches to quantum theory that build on Sauter and Riesz' identification of spinors with minimal left ideals. (38 words)

Conversely, as shown in a theorem by Schwartz (similar to the Riesz representation theorem ), every distribution which is non-negative on non-negative functions is of this form for some (positive) Radon measure. (33 words)

This allows us to use the Riesz representation theorem and find that the dual space of ℓ ∞ (N) can be identified with the space of finite Borel measures on βN. (30 words)

Example sentences (10)

Felix Riesz, 7, of Redlands is all abuzz posing for parents during Arthropolooza: the Ultimate Bugfest at San Bernardino County Museum in Redlands on Saturday, Feb. 15, 2020.

According to citation, the argument was known to Riesz already in 1918.

As of the 1980s, the theoretical physics group at Birkbeck College around David Bohm and Basil Hiley has been developing algebraic approaches to quantum theory that build on Sauter and Riesz' identification of spinors with minimal left ideals.

Closed linear spans are important when dealing with closed linear subspaces (which are themselves highly important, consider Riesz's lemma ).

Conversely, as shown in a theorem by Schwartz (similar to the Riesz representation theorem ), every distribution which is non-negative on non-negative functions is of this form for some (positive) Radon measure.

Historically, the theorem is often attributed simultaneously to Riesz and Fréchet in 1907 (see references).

In these more general contexts, the bracket does not have the meaning of an inner product, because the Riesz representation theorem does not apply.

The Fejér–Riesz proof was further simplified by Alexander Ostrowski and by Carathéodory.

This allows us to use the Riesz representation theorem and find that the dual space of ℓ ∞ (N) can be identified with the space of finite Borel measures on βN.

This theorem is also valid with some additional hypothesis if R is replaced by a general locally solid Riesz space.

Common combinations with riesz

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "riesz" in a sentence?
An example: "Felix Riesz, 7, of Redlands is all abuzz posing for parents during Arthropolooza: the Ultimate Bugfest at San Bernardino County Museum in Redlands on Saturday, Feb. 15, 2020." This page contains 10+ example sentences with the word "riesz" from authentic English texts.
How many example sentences with "riesz" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "riesz", drawn from a database of millions of English sentences.